Question Text
Question 4 :
Solve the following using Product Law of Exponents:<br/>${ v }^{ 2 }{ \times v }^{ 6 }{ \times v }^{ 7 }\times w\times { w }^{ 5 }$<br/>
Question 6 :
Arrange the following in an ascending order.$\displaystyle \sqrt{9}, 0, -5, 7, 8.1, -9.3$.
Question 11 :
The value of $[ 5 (8^{\tfrac 13} + 27^{\tfrac 13} )^3 ]^{\tfrac 14}$ is
Question 13 :
$\displaystyle \left ( 5^{\tfrac13}+5^{-\tfrac13} \right )\left ( 5^{\tfrac23}-1+5^{-\tfrac23} \right )=$ _____
Question 15 :
State whether the folloiwng statement is true (T) or false (F):<br>$x^m + x^m = x^{2m}$ where $x$ is a non-zero rational number and $m$ is a positive integer. <br><br>
Question 16 :
The value of $\frac {1}{\sqrt 3+\sqrt 2-1}$ on simplifying upto 3 decimal places, given that $\sqrt 2=1.4142$ and $\sqrt 6=2.4495$, is
Question 17 :
State True or False.$\sqrt[5]{\sqrt[4]{{({2}^{4})}^{3}}}-5\sqrt[5]{8}+2\sqrt[5]{\sqrt[4]{{({2}^{3})}^{4}}}$ <br> $ \ = \ -2\cdot \sqrt[5]{8}$<br/>
Question 19 :
Given that $A=$ $50+12i$ amps, $B=40-9i$amps and $C=60-2i$ ampsIf the final current is $D=(A+B)\times C$, then $D$ is(Note: $i=\sqrt{-1}$)